Preheat your oven to 400ºF (200ºC) and set a rack to the middle.
In a bowl, toss potatoes and carrots with 2 1/2 tbsp olive oil, thyme, rosemary, salt, and pepper.
Spread the potatoes and carrots onto a rimmed baking sheet.
Roast in the preheated oven for 20 minutes.
Toss zucchini with the remaining 1/2 tbsp olive oil and a pinch of salt.
Add the zucchini to the baking sheet with the potatoes and carrots.
Add minced garlic, toss everything, and spread it evenly.
Return to the oven and roast for another 20 minutes, until veggies are tender and slightly browned.
Serve warm and enjoy your Garlic Herb Roasted Potatoes, Carrots, and Zucchini!